Finding the Third Proportional to 86,725 and 189,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,725 : 189,167.50 = 189,167.50 : x
2. Step 2: Convert to fraction form
   86,725/189,167.50 = 189,167.50/x
3. Step 3: Cross multiply
   86,725x = 189,167.50 × 189,167.50
4. Step 4: Simplify right side
   86,725x = 35,784,343,056.25
5. Step 5: Solve for x
   x = 35,784,343,056.25/86,725
6. Step 6: Final answer
   x = 412,618.54