Finding the Third Proportional to 77,494.50 and 165,564

Step by Step Solution

1. Step 1: Write the proportion equation
   77,494.50 : 165,564 = 165,564 : x
2. Step 2: Convert to fraction form
   77,494.50/165,564 = 165,564/x
3. Step 3: Cross multiply
   77,494.50x = 165,564 × 165,564
4. Step 4: Simplify right side
   77,494.50x = 27,411,438,096
5. Step 5: Solve for x
   x = 27,411,438,096/77,494.50
6. Step 6: Final answer
   x = 353,721.08