Finding the Third Proportional to 78,029 and 117,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,029 : 117,732.50 = 117,732.50 : x
2. Step 2: Convert to fraction form
   78,029/117,732.50 = 117,732.50/x
3. Step 3: Cross multiply
   78,029x = 117,732.50 × 117,732.50
4. Step 4: Simplify right side
   78,029x = 13,860,941,556.25
5. Step 5: Solve for x
   x = 13,860,941,556.25/78,029
6. Step 6: Final answer
   x = 177,638.33