Finding the Third Proportional to 164,611.50 and 354,657

Step by Step Solution

1. Step 1: Write the proportion equation
   164,611.50 : 354,657 = 354,657 : x
2. Step 2: Convert to fraction form
   164,611.50/354,657 = 354,657/x
3. Step 3: Cross multiply
   164,611.50x = 354,657 × 354,657
4. Step 4: Simplify right side
   164,611.50x = 125,781,587,649
5. Step 5: Solve for x
   x = 125,781,587,649/164,611.50
6. Step 6: Final answer
   x = 764,111.79