Finding the Third Proportional to 177,070.50 and 276,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,070.50 : 276,196.50 = 276,196.50 : x
2. Step 2: Convert to fraction form
   177,070.50/276,196.50 = 276,196.50/x
3. Step 3: Cross multiply
   177,070.50x = 276,196.50 × 276,196.50
4. Step 4: Simplify right side
   177,070.50x = 76,284,506,612.25
5. Step 5: Solve for x
   x = 76,284,506,612.25/177,070.50
6. Step 6: Final answer
   x = 430,814.32