Finding the Third Proportional to 100,916 and 137,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,916 : 137,112.50 = 137,112.50 : x
2. Step 2: Convert to fraction form
   100,916/137,112.50 = 137,112.50/x
3. Step 3: Cross multiply
   100,916x = 137,112.50 × 137,112.50
4. Step 4: Simplify right side
   100,916x = 18,799,837,656.25
5. Step 5: Solve for x
   x = 18,799,837,656.25/100,916
6. Step 6: Final answer
   x = 186,291.94