Finding the Third Proportional to 71,877 and 102,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,877 : 102,922.50 = 102,922.50 : x
2. Step 2: Convert to fraction form
   71,877/102,922.50 = 102,922.50/x
3. Step 3: Cross multiply
   71,877x = 102,922.50 × 102,922.50
4. Step 4: Simplify right side
   71,877x = 10,593,041,006.25
5. Step 5: Solve for x
   x = 10,593,041,006.25/71,877
6. Step 6: Final answer
   x = 147,377.34