Finding the Third Proportional to 89,138.25 and 185,748.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,138.25 : 185,748.75 = 185,748.75 : x
2. Step 2: Convert to fraction form
   89,138.25/185,748.75 = 185,748.75/x
3. Step 3: Cross multiply
   89,138.25x = 185,748.75 × 185,748.75
4. Step 4: Simplify right side
   89,138.25x = 34,502,598,126.56
5. Step 5: Solve for x
   x = 34,502,598,126.56/89,138.25
6. Step 6: Final answer
   x = 387,068.38