Finding the Third Proportional to 101,709 and 157,486.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,709 : 157,486.50 = 157,486.50 : x
2. Step 2: Convert to fraction form
   101,709/157,486.50 = 157,486.50/x
3. Step 3: Cross multiply
   101,709x = 157,486.50 × 157,486.50
4. Step 4: Simplify right side
   101,709x = 24,801,997,682.25
5. Step 5: Solve for x
   x = 24,801,997,682.25/101,709
6. Step 6: Final answer
   x = 243,852.54