Finding the Third Proportional to 106,096.50 and 153,434.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106,096.50 : 153,434.25 = 153,434.25 : x
2. Step 2: Convert to fraction form
   106,096.50/153,434.25 = 153,434.25/x
3. Step 3: Cross multiply
   106,096.50x = 153,434.25 × 153,434.25
4. Step 4: Simplify right side
   106,096.50x = 23,542,069,073.06
5. Step 5: Solve for x
   x = 23,542,069,073.06/106,096.50
6. Step 6: Final answer
   x = 221,892.98