Finding the Third Proportional to 164,212.50 and 354,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,212.50 : 354,061.50 = 354,061.50 : x
2. Step 2: Convert to fraction form
   164,212.50/354,061.50 = 354,061.50/x
3. Step 3: Cross multiply
   164,212.50x = 354,061.50 × 354,061.50
4. Step 4: Simplify right side
   164,212.50x = 125,359,545,782.25
5. Step 5: Solve for x
   x = 125,359,545,782.25/164,212.50
6. Step 6: Final answer
   x = 763,398.31