Finding the Third Proportional to 122,146,178 and 266,240,116

Step by Step Solution

1. Step 1: Write the proportion equation
   122,146,178 : 266,240,116 = 266,240,116 : x
2. Step 2: Convert to fraction form
   122,146,178/266,240,116 = 266,240,116/x
3. Step 3: Cross multiply
   122,146,178x = 266,240,116 × 266,240,116
4. Step 4: Simplify right side
   122,146,178x = 70,883,799,367,693,456
5. Step 5: Solve for x
   x = 70,883,799,367,693,456/122,146,178
6. Step 6: Final answer
   x = 580,319,421.60