Finding the Third Proportional to 101,532 and 148,834

Step by Step Solution

1. Step 1: Write the proportion equation
   101,532 : 148,834 = 148,834 : x
2. Step 2: Convert to fraction form
   101,532/148,834 = 148,834/x
3. Step 3: Cross multiply
   101,532x = 148,834 × 148,834
4. Step 4: Simplify right side
   101,532x = 22,151,559,556
5. Step 5: Solve for x
   x = 22,151,559,556/101,532
6. Step 6: Final answer
   x = 218,173.18