Finding the Third Proportional to 101,188 and 148,501

Step by Step Solution

1. Step 1: Write the proportion equation
   101,188 : 148,501 = 148,501 : x
2. Step 2: Convert to fraction form
   101,188/148,501 = 148,501/x
3. Step 3: Cross multiply
   101,188x = 148,501 × 148,501
4. Step 4: Simplify right side
   101,188x = 22,052,547,001
5. Step 5: Solve for x
   x = 22,052,547,001/101,188
6. Step 6: Final answer
   x = 217,936.39