Finding the Third Proportional to 53,705 and 78,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,705 : 78,913.50 = 78,913.50 : x
2. Step 2: Convert to fraction form
   53,705/78,913.50 = 78,913.50/x
3. Step 3: Cross multiply
   53,705x = 78,913.50 × 78,913.50
4. Step 4: Simplify right side
   53,705x = 6,227,340,482.25
5. Step 5: Solve for x
   x = 6,227,340,482.25/53,705
6. Step 6: Final answer
   x = 115,954.58