Finding the Third Proportional to 102,942 and 149,721.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,942 : 149,721.50 = 149,721.50 : x
2. Step 2: Convert to fraction form
   102,942/149,721.50 = 149,721.50/x
3. Step 3: Cross multiply
   102,942x = 149,721.50 × 149,721.50
4. Step 4: Simplify right side
   102,942x = 22,416,527,562.25
5. Step 5: Solve for x
   x = 22,416,527,562.25/102,942
6. Step 6: Final answer
   x = 217,758.81