Finding the Third Proportional to 89,461 and 138,349.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,461 : 138,349.50 = 138,349.50 : x
2. Step 2: Convert to fraction form
   89,461/138,349.50 = 138,349.50/x
3. Step 3: Cross multiply
   89,461x = 138,349.50 × 138,349.50
4. Step 4: Simplify right side
   89,461x = 19,140,584,150.25
5. Step 5: Solve for x
   x = 19,140,584,150.25/89,461
6. Step 6: Final answer
   x = 213,954.51