Finding the Third Proportional to 51,174 and 78,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,174 : 78,946.50 = 78,946.50 : x
2. Step 2: Convert to fraction form
   51,174/78,946.50 = 78,946.50/x
3. Step 3: Cross multiply
   51,174x = 78,946.50 × 78,946.50
4. Step 4: Simplify right side
   51,174x = 6,232,549,862.25
5. Step 5: Solve for x
   x = 6,232,549,862.25/51,174
6. Step 6: Final answer
   x = 121,791.34