Finding the Third Proportional to 58,516 and 114,113

Step by Step Solution

1. Step 1: Write the proportion equation
   58,516 : 114,113 = 114,113 : x
2. Step 2: Convert to fraction form
   58,516/114,113 = 114,113/x
3. Step 3: Cross multiply
   58,516x = 114,113 × 114,113
4. Step 4: Simplify right side
   58,516x = 13,021,776,769
5. Step 5: Solve for x
   x = 13,021,776,769/58,516
6. Step 6: Final answer
   x = 222,533.61