Finding the Third Proportional to 526,891,436,965 and 710,900,259,699

Step by Step Solution

1. Step 1: Write the proportion equation
   526,891,436,965 : 710,900,259,699 = 710,900,259,699 : x
2. Step 2: Convert to fraction form
   526,891,436,965/710,900,259,699 = 710,900,259,699/x
3. Step 3: Cross multiply
   526,891,436,965x = 710,900,259,699 × 710,900,259,699
4. Step 4: Simplify right side
   526,891,436,965x = 505,379,179,240,105,625,780,224
5. Step 5: Solve for x
   x = 505,379,179,240,105,625,780,224/526,891,436,965
6. Step 6: Final answer
   x = 959,171,365,834.28