Finding the Third Proportional to 103,151 and 139,174

Step by Step Solution

1. Step 1: Write the proportion equation
   103,151 : 139,174 = 139,174 : x
2. Step 2: Convert to fraction form
   103,151/139,174 = 139,174/x
3. Step 3: Cross multiply
   103,151x = 139,174 × 139,174
4. Step 4: Simplify right side
   103,151x = 19,369,402,276
5. Step 5: Solve for x
   x = 19,369,402,276/103,151
6. Step 6: Final answer
   x = 187,777.16