Finding the Third Proportional to 165,766 and 254,373.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,766 : 254,373.50 = 254,373.50 : x
2. Step 2: Convert to fraction form
   165,766/254,373.50 = 254,373.50/x
3. Step 3: Cross multiply
   165,766x = 254,373.50 × 254,373.50
4. Step 4: Simplify right side
   165,766x = 64,705,877,502.25
5. Step 5: Solve for x
   x = 64,705,877,502.25/165,766
6. Step 6: Final answer
   x = 390,344.69