Finding the Third Proportional to 130,492 and 278,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,492 : 278,064.50 = 278,064.50 : x
2. Step 2: Convert to fraction form
   130,492/278,064.50 = 278,064.50/x
3. Step 3: Cross multiply
   130,492x = 278,064.50 × 278,064.50
4. Step 4: Simplify right side
   130,492x = 77,319,866,160.25
5. Step 5: Solve for x
   x = 77,319,866,160.25/130,492
6. Step 6: Final answer
   x = 592,525.72