Finding the Third Proportional to 102,126 and 149,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,126 : 149,755.50 = 149,755.50 : x
2. Step 2: Convert to fraction form
   102,126/149,755.50 = 149,755.50/x
3. Step 3: Cross multiply
   102,126x = 149,755.50 × 149,755.50
4. Step 4: Simplify right side
   102,126x = 22,426,709,780.25
5. Step 5: Solve for x
   x = 22,426,709,780.25/102,126
6. Step 6: Final answer
   x = 219,598.44