Finding the Third Proportional to 164,464 and 354,305.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,464 : 354,305.50 = 354,305.50 : x
2. Step 2: Convert to fraction form
   164,464/354,305.50 = 354,305.50/x
3. Step 3: Cross multiply
   164,464x = 354,305.50 × 354,305.50
4. Step 4: Simplify right side
   164,464x = 125,532,387,330.25
5. Step 5: Solve for x
   x = 125,532,387,330.25/164,464
6. Step 6: Final answer
   x = 763,281.86