Finding the Third Proportional to 118,471.50 and 185,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,471.50 : 185,386.50 = 185,386.50 : x
2. Step 2: Convert to fraction form
   118,471.50/185,386.50 = 185,386.50/x
3. Step 3: Cross multiply
   118,471.50x = 185,386.50 × 185,386.50
4. Step 4: Simplify right side
   118,471.50x = 34,368,154,382.25
5. Step 5: Solve for x
   x = 34,368,154,382.25/118,471.50
6. Step 6: Final answer
   x = 290,096.39