Finding the Third Proportional to 118,842 and 178,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,842 : 178,288.50 = 178,288.50 : x
2. Step 2: Convert to fraction form
   118,842/178,288.50 = 178,288.50/x
3. Step 3: Cross multiply
   118,842x = 178,288.50 × 178,288.50
4. Step 4: Simplify right side
   118,842x = 31,786,789,232.25
5. Step 5: Solve for x
   x = 31,786,789,232.25/118,842
6. Step 6: Final answer
   x = 267,471.01