Finding the Third Proportional to 99,802.50 and 146,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,802.50 : 146,782.50 = 146,782.50 : x
2. Step 2: Convert to fraction form
   99,802.50/146,782.50 = 146,782.50/x
3. Step 3: Cross multiply
   99,802.50x = 146,782.50 × 146,782.50
4. Step 4: Simplify right side
   99,802.50x = 21,545,102,306.25
5. Step 5: Solve for x
   x = 21,545,102,306.25/99,802.50
6. Step 6: Final answer
   x = 215,877.38