Finding the Third Proportional to 91,412 and 138,090

Step by Step Solution

1. Step 1: Write the proportion equation
   91,412 : 138,090 = 138,090 : x
2. Step 2: Convert to fraction form
   91,412/138,090 = 138,090/x
3. Step 3: Cross multiply
   91,412x = 138,090 × 138,090
4. Step 4: Simplify right side
   91,412x = 19,068,848,100
5. Step 5: Solve for x
   x = 19,068,848,100/91,412
6. Step 6: Final answer
   x = 208,603.34