Finding the Third Proportional to 78,492.50 and 166,786

Step by Step Solution

1. Step 1: Write the proportion equation
   78,492.50 : 166,786 = 166,786 : x
2. Step 2: Convert to fraction form
   78,492.50/166,786 = 166,786/x
3. Step 3: Cross multiply
   78,492.50x = 166,786 × 166,786
4. Step 4: Simplify right side
   78,492.50x = 27,817,569,796
5. Step 5: Solve for x
   x = 27,817,569,796/78,492.50
6. Step 6: Final answer
   x = 354,397.81