Finding the Third Proportional to 100,818 and 137,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,818 : 137,002.50 = 137,002.50 : x
2. Step 2: Convert to fraction form
   100,818/137,002.50 = 137,002.50/x
3. Step 3: Cross multiply
   100,818x = 137,002.50 × 137,002.50
4. Step 4: Simplify right side
   100,818x = 18,769,685,006.25
5. Step 5: Solve for x
   x = 18,769,685,006.25/100,818
6. Step 6: Final answer
   x = 186,173.95