Finding the Third Proportional to 101,061.50 and 214,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,061.50 : 214,445.50 = 214,445.50 : x
2. Step 2: Convert to fraction form
   101,061.50/214,445.50 = 214,445.50/x
3. Step 3: Cross multiply
   101,061.50x = 214,445.50 × 214,445.50
4. Step 4: Simplify right side
   101,061.50x = 45,986,872,470.25
5. Step 5: Solve for x
   x = 45,986,872,470.25/101,061.50
6. Step 6: Final answer
   x = 455,038.49