Finding the Third Proportional to 92,116 and 138,172

Step by Step Solution

1. Step 1: Write the proportion equation
   92,116 : 138,172 = 138,172 : x
2. Step 2: Convert to fraction form
   92,116/138,172 = 138,172/x
3. Step 3: Cross multiply
   92,116x = 138,172 × 138,172
4. Step 4: Simplify right side
   92,116x = 19,091,501,584
5. Step 5: Solve for x
   x = 19,091,501,584/92,116
6. Step 6: Final answer
   x = 207,255.00