Finding the Third Proportional to 81,791 and 175,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,791 : 175,407.50 = 175,407.50 : x
2. Step 2: Convert to fraction form
   81,791/175,407.50 = 175,407.50/x
3. Step 3: Cross multiply
   81,791x = 175,407.50 × 175,407.50
4. Step 4: Simplify right side
   81,791x = 30,767,791,056.25
5. Step 5: Solve for x
   x = 30,767,791,056.25/81,791
6. Step 6: Final answer
   x = 376,175.75