Finding the Third Proportional to 42,153.75 and 88,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,153.75 : 88,204.50 = 88,204.50 : x
2. Step 2: Convert to fraction form
   42,153.75/88,204.50 = 88,204.50/x
3. Step 3: Cross multiply
   42,153.75x = 88,204.50 × 88,204.50
4. Step 4: Simplify right side
   42,153.75x = 7,780,033,820.25
5. Step 5: Solve for x
   x = 7,780,033,820.25/42,153.75
6. Step 6: Final answer
   x = 184,563.27