Finding the Third Proportional to 89,550 and 138,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,550 : 138,577.50 = 138,577.50 : x
2. Step 2: Convert to fraction form
   89,550/138,577.50 = 138,577.50/x
3. Step 3: Cross multiply
   89,550x = 138,577.50 × 138,577.50
4. Step 4: Simplify right side
   89,550x = 19,203,723,506.25
5. Step 5: Solve for x
   x = 19,203,723,506.25/89,550
6. Step 6: Final answer
   x = 214,446.94