Finding the Third Proportional to 43,009.50 and 101,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,009.50 : 101,192.50 = 101,192.50 : x
2. Step 2: Convert to fraction form
   43,009.50/101,192.50 = 101,192.50/x
3. Step 3: Cross multiply
   43,009.50x = 101,192.50 × 101,192.50
4. Step 4: Simplify right side
   43,009.50x = 10,239,922,056.25
5. Step 5: Solve for x
   x = 10,239,922,056.25/43,009.50
6. Step 6: Final answer
   x = 238,085.12