Finding the Third Proportional to 120,465 and 176,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,465 : 176,377.50 = 176,377.50 : x
2. Step 2: Convert to fraction form
   120,465/176,377.50 = 176,377.50/x
3. Step 3: Cross multiply
   120,465x = 176,377.50 × 176,377.50
4. Step 4: Simplify right side
   120,465x = 31,109,022,506.25
5. Step 5: Solve for x
   x = 31,109,022,506.25/120,465
6. Step 6: Final answer
   x = 258,241.17