Finding the Third Proportional to 526,891,594,738 and 710,900,463,116

Step by Step Solution

1. Step 1: Write the proportion equation
   526,891,594,738 : 710,900,463,116 = 710,900,463,116 : x
2. Step 2: Convert to fraction form
   526,891,594,738/710,900,463,116 = 710,900,463,116/x
3. Step 3: Cross multiply
   526,891,594,738x = 710,900,463,116 × 710,900,463,116
4. Step 4: Simplify right side
   526,891,594,738x = 505,379,468,458,543,298,904,064
5. Step 5: Solve for x
   x = 505,379,468,458,543,298,904,064/526,891,594,738
6. Step 6: Final answer
   x = 959,171,627,533.45