Finding the Third Proportional to 78,804 and 120,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,804 : 120,562.50 = 120,562.50 : x
2. Step 2: Convert to fraction form
   78,804/120,562.50 = 120,562.50/x
3. Step 3: Cross multiply
   78,804x = 120,562.50 × 120,562.50
4. Step 4: Simplify right side
   78,804x = 14,535,316,406.25
5. Step 5: Solve for x
   x = 14,535,316,406.25/78,804
6. Step 6: Final answer
   x = 184,448.97