Finding the Third Proportional to 100,461.50 and 151,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,461.50 : 151,983.50 = 151,983.50 : x
2. Step 2: Convert to fraction form
   100,461.50/151,983.50 = 151,983.50/x
3. Step 3: Cross multiply
   100,461.50x = 151,983.50 × 151,983.50
4. Step 4: Simplify right side
   100,461.50x = 23,098,984,272.25
5. Step 5: Solve for x
   x = 23,098,984,272.25/100,461.50
6. Step 6: Final answer
   x = 229,928.72