Finding the Third Proportional to 123,518 and 188,432

Step by Step Solution

1. Step 1: Write the proportion equation
   123,518 : 188,432 = 188,432 : x
2. Step 2: Convert to fraction form
   123,518/188,432 = 188,432/x
3. Step 3: Cross multiply
   123,518x = 188,432 × 188,432
4. Step 4: Simplify right side
   123,518x = 35,506,618,624
5. Step 5: Solve for x
   x = 35,506,618,624/123,518
6. Step 6: Final answer
   x = 287,461.09