Finding the Third Proportional to 81,846 and 176,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,846 : 176,602.50 = 176,602.50 : x
2. Step 2: Convert to fraction form
   81,846/176,602.50 = 176,602.50/x
3. Step 3: Cross multiply
   81,846x = 176,602.50 × 176,602.50
4. Step 4: Simplify right side
   81,846x = 31,188,443,006.25
5. Step 5: Solve for x
   x = 31,188,443,006.25/81,846
6. Step 6: Final answer
   x = 381,062.52