Finding the Third Proportional to 78,140 and 116,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,140 : 116,694.50 = 116,694.50 : x
2. Step 2: Convert to fraction form
   78,140/116,694.50 = 116,694.50/x
3. Step 3: Cross multiply
   78,140x = 116,694.50 × 116,694.50
4. Step 4: Simplify right side
   78,140x = 13,617,606,330.25
5. Step 5: Solve for x
   x = 13,617,606,330.25/78,140
6. Step 6: Final answer
   x = 174,271.90