Finding the Third Proportional to 78,113.50 and 116,659

Step by Step Solution

1. Step 1: Write the proportion equation
   78,113.50 : 116,659 = 116,659 : x
2. Step 2: Convert to fraction form
   78,113.50/116,659 = 116,659/x
3. Step 3: Cross multiply
   78,113.50x = 116,659 × 116,659
4. Step 4: Simplify right side
   78,113.50x = 13,609,322,281
5. Step 5: Solve for x
   x = 13,609,322,281/78,113.50
6. Step 6: Final answer
   x = 174,224.97