Finding the Third Proportional to 102,249 and 149,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,249 : 149,935.50 = 149,935.50 : x
2. Step 2: Convert to fraction form
   102,249/149,935.50 = 149,935.50/x
3. Step 3: Cross multiply
   102,249x = 149,935.50 × 149,935.50
4. Step 4: Simplify right side
   102,249x = 22,480,654,160.25
5. Step 5: Solve for x
   x = 22,480,654,160.25/102,249
6. Step 6: Final answer
   x = 219,861.85