Finding the Third Proportional to 78,421 and 185,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,421 : 185,096.50 = 185,096.50 : x
2. Step 2: Convert to fraction form
   78,421/185,096.50 = 185,096.50/x
3. Step 3: Cross multiply
   78,421x = 185,096.50 × 185,096.50
4. Step 4: Simplify right side
   78,421x = 34,260,714,312.25
5. Step 5: Solve for x
   x = 34,260,714,312.25/78,421
6. Step 6: Final answer
   x = 436,881.89