Finding the Third Proportional to 82,029 and 117,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,029 : 117,300.50 = 117,300.50 : x
2. Step 2: Convert to fraction form
   82,029/117,300.50 = 117,300.50/x
3. Step 3: Cross multiply
   82,029x = 117,300.50 × 117,300.50
4. Step 4: Simplify right side
   82,029x = 13,759,407,300.25
5. Step 5: Solve for x
   x = 13,759,407,300.25/82,029
6. Step 6: Final answer
   x = 167,738.33