Finding the Third Proportional to 105,967.50 and 148,535.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,967.50 : 148,535.25 = 148,535.25 : x
2. Step 2: Convert to fraction form
   105,967.50/148,535.25 = 148,535.25/x
3. Step 3: Cross multiply
   105,967.50x = 148,535.25 × 148,535.25
4. Step 4: Simplify right side
   105,967.50x = 22,062,720,492.56
5. Step 5: Solve for x
   x = 22,062,720,492.56/105,967.50
6. Step 6: Final answer
   x = 208,202.71