Finding the Third Proportional to 102,480 and 152,226

Step by Step Solution

1. Step 1: Write the proportion equation
   102,480 : 152,226 = 152,226 : x
2. Step 2: Convert to fraction form
   102,480/152,226 = 152,226/x
3. Step 3: Cross multiply
   102,480x = 152,226 × 152,226
4. Step 4: Simplify right side
   102,480x = 23,172,755,076
5. Step 5: Solve for x
   x = 23,172,755,076/102,480
6. Step 6: Final answer
   x = 226,119.78