Finding the Third Proportional to 119,523 and 167,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,523 : 167,509.50 = 167,509.50 : x
2. Step 2: Convert to fraction form
   119,523/167,509.50 = 167,509.50/x
3. Step 3: Cross multiply
   119,523x = 167,509.50 × 167,509.50
4. Step 4: Simplify right side
   119,523x = 28,059,432,590.25
5. Step 5: Solve for x
   x = 28,059,432,590.25/119,523
6. Step 6: Final answer
   x = 234,761.78