Finding the Third Proportional to 101,509 and 148,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,509 : 148,945.50 = 148,945.50 : x
2. Step 2: Convert to fraction form
   101,509/148,945.50 = 148,945.50/x
3. Step 3: Cross multiply
   101,509x = 148,945.50 × 148,945.50
4. Step 4: Simplify right side
   101,509x = 22,184,761,970.25
5. Step 5: Solve for x
   x = 22,184,761,970.25/101,509
6. Step 6: Final answer
   x = 218,549.70