Finding the Third Proportional to 53,174 and 78,735

Step by Step Solution

1. Step 1: Write the proportion equation
   53,174 : 78,735 = 78,735 : x
2. Step 2: Convert to fraction form
   53,174/78,735 = 78,735/x
3. Step 3: Cross multiply
   53,174x = 78,735 × 78,735
4. Step 4: Simplify right side
   53,174x = 6,199,200,225
5. Step 5: Solve for x
   x = 6,199,200,225/53,174
6. Step 6: Final answer
   x = 116,583.30