Finding the Third Proportional to 38,827 and 83,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,827 : 83,187.50 = 83,187.50 : x
2. Step 2: Convert to fraction form
   38,827/83,187.50 = 83,187.50/x
3. Step 3: Cross multiply
   38,827x = 83,187.50 × 83,187.50
4. Step 4: Simplify right side
   38,827x = 6,920,160,156.25
5. Step 5: Solve for x
   x = 6,920,160,156.25/38,827
6. Step 6: Final answer
   x = 178,230.62