Finding the Third Proportional to 92,194.50 and 142,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,194.50 : 142,386.50 = 142,386.50 : x
2. Step 2: Convert to fraction form
   92,194.50/142,386.50 = 142,386.50/x
3. Step 3: Cross multiply
   92,194.50x = 142,386.50 × 142,386.50
4. Step 4: Simplify right side
   92,194.50x = 20,273,915,382.25
5. Step 5: Solve for x
   x = 20,273,915,382.25/92,194.50
6. Step 6: Final answer
   x = 219,903.74