Finding the Third Proportional to 101,784 and 149,634.75

Step by Step Solution

1. Step 1: Write the proportion equation
   101,784 : 149,634.75 = 149,634.75 : x
2. Step 2: Convert to fraction form
   101,784/149,634.75 = 149,634.75/x
3. Step 3: Cross multiply
   101,784x = 149,634.75 × 149,634.75
4. Step 4: Simplify right side
   101,784x = 22,390,558,407.56
5. Step 5: Solve for x
   x = 22,390,558,407.56/101,784
6. Step 6: Final answer
   x = 219,981.12