Finding the Third Proportional to 38,088.38 and 88,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,088.38 : 88,162.50 = 88,162.50 : x
2. Step 2: Convert to fraction form
   38,088.38/88,162.50 = 88,162.50/x
3. Step 3: Cross multiply
   38,088.38x = 88,162.50 × 88,162.50
4. Step 4: Simplify right side
   38,088.38x = 7,772,626,406.25
5. Step 5: Solve for x
   x = 7,772,626,406.25/38,088.38
6. Step 6: Final answer
   x = 204,068.21