Finding the Third Proportional to 172,089 and 377,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,089 : 377,419.50 = 377,419.50 : x
2. Step 2: Convert to fraction form
   172,089/377,419.50 = 377,419.50/x
3. Step 3: Cross multiply
   172,089x = 377,419.50 × 377,419.50
4. Step 4: Simplify right side
   172,089x = 142,445,478,980.25
5. Step 5: Solve for x
   x = 142,445,478,980.25/172,089
6. Step 6: Final answer
   x = 827,743.08