Finding the Third Proportional to 115,209 and 178,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,209 : 178,807.50 = 178,807.50 : x
2. Step 2: Convert to fraction form
   115,209/178,807.50 = 178,807.50/x
3. Step 3: Cross multiply
   115,209x = 178,807.50 × 178,807.50
4. Step 4: Simplify right side
   115,209x = 31,972,122,056.25
5. Step 5: Solve for x
   x = 31,972,122,056.25/115,209
6. Step 6: Final answer
   x = 277,514.10