Finding the Third Proportional to 102,688 and 152,526

Step by Step Solution

1. Step 1: Write the proportion equation
   102,688 : 152,526 = 152,526 : x
2. Step 2: Convert to fraction form
   102,688/152,526 = 152,526/x
3. Step 3: Cross multiply
   102,688x = 152,526 × 152,526
4. Step 4: Simplify right side
   102,688x = 23,264,180,676
5. Step 5: Solve for x
   x = 23,264,180,676/102,688
6. Step 6: Final answer
   x = 226,552.09