Finding the Third Proportional to 42,154 and 88,205

Step by Step Solution

1. Step 1: Write the proportion equation
   42,154 : 88,205 = 88,205 : x
2. Step 2: Convert to fraction form
   42,154/88,205 = 88,205/x
3. Step 3: Cross multiply
   42,154x = 88,205 × 88,205
4. Step 4: Simplify right side
   42,154x = 7,780,122,025
5. Step 5: Solve for x
   x = 7,780,122,025/42,154
6. Step 6: Final answer
   x = 184,564.26