Finding the Third Proportional to 77,071.50 and 148,270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,071.50 : 148,270.50 = 148,270.50 : x
2. Step 2: Convert to fraction form
   77,071.50/148,270.50 = 148,270.50/x
3. Step 3: Cross multiply
   77,071.50x = 148,270.50 × 148,270.50
4. Step 4: Simplify right side
   77,071.50x = 21,984,141,170.25
5. Step 5: Solve for x
   x = 21,984,141,170.25/77,071.50
6. Step 6: Final answer
   x = 285,243.46