Finding the Third Proportional to 64,792 and 105,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,792 : 105,799.50 = 105,799.50 : x
2. Step 2: Convert to fraction form
   64,792/105,799.50 = 105,799.50/x
3. Step 3: Cross multiply
   64,792x = 105,799.50 × 105,799.50
4. Step 4: Simplify right side
   64,792x = 11,193,534,200.25
5. Step 5: Solve for x
   x = 11,193,534,200.25/64,792
6. Step 6: Final answer
   x = 172,761.05