Finding the Third Proportional to 76,748.25 and 157,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,748.25 : 157,300.50 = 157,300.50 : x
2. Step 2: Convert to fraction form
   76,748.25/157,300.50 = 157,300.50/x
3. Step 3: Cross multiply
   76,748.25x = 157,300.50 × 157,300.50
4. Step 4: Simplify right side
   76,748.25x = 24,743,447,300.25
5. Step 5: Solve for x
   x = 24,743,447,300.25/76,748.25
6. Step 6: Final answer
   x = 322,397.54