Finding the Third Proportional to 61,838 and 132,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,838 : 132,421.50 = 132,421.50 : x
2. Step 2: Convert to fraction form
   61,838/132,421.50 = 132,421.50/x
3. Step 3: Cross multiply
   61,838x = 132,421.50 × 132,421.50
4. Step 4: Simplify right side
   61,838x = 17,535,453,662.25
5. Step 5: Solve for x
   x = 17,535,453,662.25/61,838
6. Step 6: Final answer
   x = 283,570.84