Finding the Third Proportional to 101,699 and 150,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,699 : 150,471.50 = 150,471.50 : x
2. Step 2: Convert to fraction form
   101,699/150,471.50 = 150,471.50/x
3. Step 3: Cross multiply
   101,699x = 150,471.50 × 150,471.50
4. Step 4: Simplify right side
   101,699x = 22,641,672,312.25
5. Step 5: Solve for x
   x = 22,641,672,312.25/101,699
6. Step 6: Final answer
   x = 222,634.17