Finding the Third Proportional to 83,160 and 126,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,160 : 126,814.50 = 126,814.50 : x
2. Step 2: Convert to fraction form
   83,160/126,814.50 = 126,814.50/x
3. Step 3: Cross multiply
   83,160x = 126,814.50 × 126,814.50
4. Step 4: Simplify right side
   83,160x = 16,081,917,410.25
5. Step 5: Solve for x
   x = 16,081,917,410.25/83,160
6. Step 6: Final answer
   x = 193,385.25