Finding the Third Proportional to 78,003 and 120,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,003 : 120,724.50 = 120,724.50 : x
2. Step 2: Convert to fraction form
   78,003/120,724.50 = 120,724.50/x
3. Step 3: Cross multiply
   78,003x = 120,724.50 × 120,724.50
4. Step 4: Simplify right side
   78,003x = 14,574,404,900.25
5. Step 5: Solve for x
   x = 14,574,404,900.25/78,003
6. Step 6: Final answer
   x = 186,844.16