Finding the Third Proportional to 116,710 and 256,113

Step by Step Solution

1. Step 1: Write the proportion equation
   116,710 : 256,113 = 256,113 : x
2. Step 2: Convert to fraction form
   116,710/256,113 = 256,113/x
3. Step 3: Cross multiply
   116,710x = 256,113 × 256,113
4. Step 4: Simplify right side
   116,710x = 65,593,868,769
5. Step 5: Solve for x
   x = 65,593,868,769/116,710
6. Step 6: Final answer
   x = 562,024.41