Finding the Third Proportional to 86,493.50 and 187,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,493.50 : 187,746.50 = 187,746.50 : x
2. Step 2: Convert to fraction form
   86,493.50/187,746.50 = 187,746.50/x
3. Step 3: Cross multiply
   86,493.50x = 187,746.50 × 187,746.50
4. Step 4: Simplify right side
   86,493.50x = 35,248,748,262.25
5. Step 5: Solve for x
   x = 35,248,748,262.25/86,493.50
6. Step 6: Final answer
   x = 407,530.60