Finding the Third Proportional to 42,153 and 88,203.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,153 : 88,203.25 = 88,203.25 : x
2. Step 2: Convert to fraction form
   42,153/88,203.25 = 88,203.25/x
3. Step 3: Cross multiply
   42,153x = 88,203.25 × 88,203.25
4. Step 4: Simplify right side
   42,153x = 7,779,813,310.56
5. Step 5: Solve for x
   x = 7,779,813,310.56/42,153
6. Step 6: Final answer
   x = 184,561.32