Finding the Third Proportional to 78,071 and 116,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,071 : 116,892.50 = 116,892.50 : x
2. Step 2: Convert to fraction form
   78,071/116,892.50 = 116,892.50/x
3. Step 3: Cross multiply
   78,071x = 116,892.50 × 116,892.50
4. Step 4: Simplify right side
   78,071x = 13,663,856,556.25
5. Step 5: Solve for x
   x = 13,663,856,556.25/78,071
6. Step 6: Final answer
   x = 175,018.34