Finding the Third Proportional to 88,212 and 181,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,212 : 181,102.50 = 181,102.50 : x
2. Step 2: Convert to fraction form
   88,212/181,102.50 = 181,102.50/x
3. Step 3: Cross multiply
   88,212x = 181,102.50 × 181,102.50
4. Step 4: Simplify right side
   88,212x = 32,798,115,506.25
5. Step 5: Solve for x
   x = 32,798,115,506.25/88,212
6. Step 6: Final answer
   x = 371,810.13