Finding the Third Proportional to 157,886 and 249,978

Step by Step Solution

1. Step 1: Write the proportion equation
   157,886 : 249,978 = 249,978 : x
2. Step 2: Convert to fraction form
   157,886/249,978 = 249,978/x
3. Step 3: Cross multiply
   157,886x = 249,978 × 249,978
4. Step 4: Simplify right side
   157,886x = 62,489,000,484
5. Step 5: Solve for x
   x = 62,489,000,484/157,886
6. Step 6: Final answer
   x = 395,785.57