Finding the Third Proportional to 101,235 and 214,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,235 : 214,927.50 = 214,927.50 : x
2. Step 2: Convert to fraction form
   101,235/214,927.50 = 214,927.50/x
3. Step 3: Cross multiply
   101,235x = 214,927.50 × 214,927.50
4. Step 4: Simplify right side
   101,235x = 46,193,830,256.25
5. Step 5: Solve for x
   x = 46,193,830,256.25/101,235
6. Step 6: Final answer
   x = 456,302.96