Finding the Third Proportional to 164,594 and 354,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,594 : 354,158.50 = 354,158.50 : x
2. Step 2: Convert to fraction form
   164,594/354,158.50 = 354,158.50/x
3. Step 3: Cross multiply
   164,594x = 354,158.50 × 354,158.50
4. Step 4: Simplify right side
   164,594x = 125,428,243,122.25
5. Step 5: Solve for x
   x = 125,428,243,122.25/164,594
6. Step 6: Final answer
   x = 762,046.27