Finding the Third Proportional to 89,748 and 139,354

Step by Step Solution

1. Step 1: Write the proportion equation
   89,748 : 139,354 = 139,354 : x
2. Step 2: Convert to fraction form
   89,748/139,354 = 139,354/x
3. Step 3: Cross multiply
   89,748x = 139,354 × 139,354
4. Step 4: Simplify right side
   89,748x = 19,419,537,316
5. Step 5: Solve for x
   x = 19,419,537,316/89,748
6. Step 6: Final answer
   x = 216,378.50