Finding the Third Proportional to 102,983 and 151,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,983 : 151,133.50 = 151,133.50 : x
2. Step 2: Convert to fraction form
   102,983/151,133.50 = 151,133.50/x
3. Step 3: Cross multiply
   102,983x = 151,133.50 × 151,133.50
4. Step 4: Simplify right side
   102,983x = 22,841,334,822.25
5. Step 5: Solve for x
   x = 22,841,334,822.25/102,983
6. Step 6: Final answer
   x = 221,797.14