Finding the Third Proportional to 51,553 and 78,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,553 : 78,409.50 = 78,409.50 : x
2. Step 2: Convert to fraction form
   51,553/78,409.50 = 78,409.50/x
3. Step 3: Cross multiply
   51,553x = 78,409.50 × 78,409.50
4. Step 4: Simplify right side
   51,553x = 6,148,049,690.25
5. Step 5: Solve for x
   x = 6,148,049,690.25/51,553
6. Step 6: Final answer
   x = 119,256.88